Probabilities for absolute irreducibility of multivariate polynomials by the polytope method

Authors: FATİH KOYUNCU, FERRUH ÖZBUDAK

Abstract: Motivated by the Dubickas's result in [1], which computes the probability of the irreducible polynomials by Eisenstein's criterion for some families of polynomials in Z[x], we calculate the probabilities which represent the ratio of absolutely irreducible multivariate polynomials by the polytope method in some families of polynomials over arbitrary fields.

Keywords: Absolute irreducibility, polytopes, multivariate polynomials

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